What is 85/120 as a percent?

To convert a fraction to a percent, divide the numerator by the denominator to get a decimal, then multiply the result by 100. This gives the equivalent percentage of the fraction.

Convert the Fraction 85/120 into Percent.

85/120 as a percent is 70.83%

Method 1: Convert Fraction to Percent Directly

Step 1: Divide the numerator (85) by the denominator (120).

85 ÷ 120 = 0.7083

Step 2: Multiply the result by 100 to convert to a percentage.

0.7083 × 100 = 70.83%

So, 85/120 as a percent is 70.83%.

Method 2: Convert Fraction to Decimal and Percent

Step 1: First, convert the fraction to a decimal by dividing the numerator by the denominator.

85 ÷ 120 = 0.7083

Step 2: Move the decimal point two places to the right to get the percentage.

0.7083 becomes 70.83.

Step 3: Add a percent sign (%) to the result.

The final result is 70.83%.

Method 3: Use Proportions to Find Percent

Step 1: Set up a proportion where 85/120 is equal to x/100.

85/120 = x/100

Step 2: Cross-multiply to solve for x.

85 × 100 = 120 × x

8500 = 120x

Step 3: Divide both sides by 120 to solve for x.

x = 8500 ÷ 120 = 70.83